GCD of 892, 560, 664, 648 Calculator

Given Input numbers are 892, 560, 664, 648

In the factoring method, we have to find the divisors of all numbers

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (892, 560, 664, 648) = 4.

Given numbers are 892, 560, 664, 648

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 892, 560, 664, 648 is 4.

Given numbers are 892, 560, 664, 648

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(892, 560) = 124880

GCD(892, 560) = ( 892 x 560 ) / 124880

= 892 / 560

= 892

Step2:

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

= 4 / 664

= 4

Step3:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

So, Greatest Common Divisor of 892, 560, 664, 648 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 315, 294, 997
• GCD of 475, 903, 619, 253
• GCD of 249, 527, 765, 301
• GCD of 163, 871, 230, 713
• GCD of 550, 853, 428, 889

Given numbers are 892, 560, 664, 648
The greatest common divisor of numbers 892, 560, 664, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 560, 664, 648 is 4.

1. What is the GCD of 892, 560, 664, 648?

GCD of given numbers 892, 560, 664, 648 is 4

2. How to calculate the greatest common divisor of 892, 560, 664, 648?

We can find the highest common divisor of 892, 560, 664, 648 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 892, 560, 664, 648 i.e 4.

3. How can I use the GCD of 892, 560, 664, 648Calculator?

Out the numbers 892, 560, 664, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.